A New Method for Constructing Small-Bias Spaces from Hermitian Codes

  • Olav Geil
  • Stefano Martin
  • Ryutaroh Matsumoto
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7369)

Abstract

We propose a new method for constructing small-bias spaces through a combination of Hermitian codes. For a class of parameters our multisets are much faster to construct than what can be achieved by use of the traditional algebraic geometric code construction. So, if speed is important, our construction is competitive with all other known constructions in that region. And if speed is not a matter of interest the small-bias spaces of the present paper still perform better than the ones related to norm-trace codes reported in [12].

Keywords

Small-bias space balanced code Gröbner basis Hermitian code 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Olav Geil
    • 1
  • Stefano Martin
    • 1
  • Ryutaroh Matsumoto
    • 1
    • 2
  1. 1.Department of Mathematical SciencesAalborg UniversityDenmark
  2. 2.Department of Communications and Integrated SystemsTokyo Institute of TechnologyJapan

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